(Solved):   The figure below shows a gas contained in a vertical piston- cylinder assembly, where D = 5 ...

 

The figure below shows a gas contained in a vertical piston- cylinder assembly, where D = 5 cm. A vertical shaft whose cross-sectional area is 0.8 cm² is attached to the top of the piston. The total mass of the piston and shaft is 25 kg. While the gas is slowly heated, the internal energy of the gas increases by 0.1 kJ, the potential energy of the piston-shaft combination increases by 0.2 kJ, and a force of F = 1000 N is exerted on the shaft as shown in the figure. The piston and cylinder are poor conductors, and friction between them is negligible.The local atmospheric pressure is 1 bar and g = 9.81 m/s². -A=0.8 cm² Patm = 1 bar Gas D Determine, (a) the work done by the shaft, (b) the work done in displacing the atmosphere, and (c) the heat transfer to the gas, all in kJ.